GCD of 580, 280, 665, 120 Calculator

Given Input numbers are 580, 280, 665, 120

In the factoring method, we have to find the divisors of all numbers

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 665 :

The positive integer divisors of 665 that completely divides 665 are.

1, 5, 7, 19, 35, 95, 133, 665

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

GCD of numbers is the greatest common divisor

So, the GCD (580, 280, 665, 120) = 5.

Given numbers are 580, 280, 665, 120

The list of prime factors of all numbers are

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 665 are 5 x 7 x 19

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

The highest common occurrence is 5¹

Therefore, GCD of 580, 280, 665, 120 is 5.

Given numbers are 580, 280, 665, 120

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(580, 280) = 8120

GCD(580, 280) = ( 580 x 280 ) / 8120

= 580 / 280

= 580

Step2:

LCM(20, 665) = 2660

GCD(20, 665) = ( 20 x 665 ) / 2660

= 20 / 665

= 20

Step3:

LCM(5, 120) = 120

GCD(5, 120) = ( 5 x 120 ) / 120

= 5 / 120

= 5

So, Greatest Common Divisor of 580, 280, 665, 120 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 690, 259, 869, 139
• GCD of 260, 995, 180, 339
• GCD of 739, 836, 409, 545
• GCD of 791, 715, 808, 432
• GCD of 121, 432, 741, 403

Given numbers are 580, 280, 665, 120
The greatest common divisor of numbers 580, 280, 665, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 280, 665, 120 is 5.

1. What is the GCD of 580, 280, 665, 120?

GCD of given numbers 580, 280, 665, 120 is 5

2. How to calculate the greatest common divisor of 580, 280, 665, 120?

We can find the highest common divisor of 580, 280, 665, 120 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 580, 280, 665, 120 i.e 5.

3. How can I use the GCD of 580, 280, 665, 120Calculator?

Out the numbers 580, 280, 665, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.